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In this problem we consider an equation in differential form ???+???=0 The equation (6?^(1/?)+4?^3?^−3)??+(6?^2?^−2+4)??=0 in differential...

In this problem we consider an equation in differential form ???+???=0 The equation

(6?^(1/?)+4?^3?^−3)??+(6?^2?^−2+4)??=0

in differential form ?˜??+?˜??=0 is not exact. Indeed, we have

?˜?−?˜?/M=______

is a function of ? alone.

Namely we have μ(y)=

Multiplying the original equation by the integrating factor we obtain a new equation ???+???=0

?=____

?=_____

Which is exact since

??=______

??=_______

are equal.

This problem is exact. Therefore an implicit general solution can be written in the form  ?(?,?)=?F

where

?(?,?)=__________

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